Tanorexics like to sip martinis by the pool side.
Much like anorexia (the root word) tanorexic people are both mentally and physically addicted to tanning.
Physical addiction: UVA rays can give the feeling of euphoria or a natural "high" similar to the euphoric feeling experienced after exercising.
M: No no, I must get a tan
L: you've been at the beach all day, I think you are tanorexic.